| 二维自适应结构网格的变分生成方法 |
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| 引用本文： | 于明. 二维自适应结构网格的变分生成方法[J]. 计算物理, 2004, 21(1): 27-34 |
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| 作者姓名： | 于明 |
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| 作者单位： | 北京应用物理与计算数学研究所,北京,100088 |
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| 基金项目： | 中国工程物理研究院院内基金资助项目 |
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| 摘 要： | 提出-一种二维结构网格的自适应生成方法,即采用变分方程控制网格的疏密程度以及光滑性、正交性和正规性,并且所有的控制方程具有-致的量纲.几个数值算例表明,给出的网格自适应生成方法能够较好地收敛到方程的唯-解,同时产生性质良好的二维自适应结构网格.
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| 关 键 词： | 二维结构网格 自适应性 变分方程 |
| 文章编号： | 1001-246X(2004)01-0027-08 |
| 收稿时间： | 2002-10-14 |
| 修稿时间： | 2002-10-14 |
Generation of 2-D Adaptive Structured Grids by Variational Methods |
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| YU Ming. Generation of 2-D Adaptive Structured Grids by Variational Methods[J]. Chinese Journal of Computational Physics, 2004, 21(1): 27-34 |
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| Authors: | YU Ming |
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| Affiliation: | Institute of Applied Physics and Computational Mathematics, Beijing 100088, China |
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| Abstract: | An adaptive generation method about two dimensional structured grids is presented.Several variational methods are used to control the mesh spacing,smoothness,orthogonality and regularity of grids generated.The all governing equations have identical dimensions.Some typical examples demonstrate that the method of adaptively generating grids can well converge to the unique solution of the governing partial differential equations, and in the meanwhile can get structured grids. |
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| Keywords: | two dimensional structured grids adaptive generation variational methods |
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